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The breakdown of adiabatic polaron theory in one, two, and three dimensions and the reformation of the large polaron concept
Aldo H. Romero, David W. Brown, Katja Lindenberg
We prove variationally that at weak coupling in one, two, and three dimensions there exist correlated electron-phonon states below the approximate ground states characteristically…
On the Generalized Kramers Problem with Exponential Memory Friction
Katja Lindenberg, Aldo H. Romero, Jose M. Sancho
The time-dependent transmission coefficient for the generalized Kramers problem with exponential memory friction has recently been calculated by Kohen and Tannor [D. Kohen and D. J…
Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
Aldo H. Romero, David W. Brown, Katja Lindenberg
We present polaron effective masses and selected polaron band structures of the Holstein molecular crystal model in 1-D as computed by the Global-Local variational method over a wi…
Exact weak-coupling radius of the Holstein polaron in one, two, and three dimensions
Aldo H. Romero, David W. Brown, Katja Lindenberg
We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of…
Motor Proteins Have Highly Correlated Brownian Engines
G. P. Tsironis, K. Lindenberg
Two headed motor proteins, such as kinesin and dynein, hidrolyze environmental ATP in order to propel unidirectionally along cytoskeletal filaments such as microtubules. In the cas…
Electronic Kinetic Energy in the Polaron Ground State and the Location of the Self-Trapping Transition
A. H. Romero, David W. Brown, Katja Lindenberg
In this paper we discuss the electronic kinetic energy in the ground state of the Holstein Hamiltonian in one space dimension using the Global-Local variational method together wit…